CORDIS Project
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The project investigates Diophantine equations, focusing on finding power-integral points on elliptic curves. It aims to combine techniques from number theory and elliptic sequences to provide insights into unresolved mathematical problems.
The study of Diophantine equations is one of the oldest branches of pure mathematics.
The 20th century saw Siegel’s theorem about the finitness of integral points on elliptic curves, the negative solution of Hilbert’s 10th problem, Faltings' Theorem and the proof of Fermat’s Last Theorem.
In the 21st century much work has already been done to resolve extensions of Hilbert’s 10th problem and to make Faltings' theorem effective.
Moreover, solving generalized Fermat equations has, for example, led…
UNIVERSITEIT UTRECHT
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